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Finding the Fourth Proportional to 312,474.12, 468,711.86 and 112,935.40

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Solution

The fourth proportional to 312,474.12, 468,711.86 and 112,935.40 is: 169,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474.12 : 468,711.86 = 112,935.40 : x
  2. Step 2: Convert to fraction form
    312,474.12/468,711.86 = 112,935.40/x
  3. Step 3: Cross multiply
    312,474.12x = 468,711.86 × 112,935.40
  4. Step 4: Simplify right side
    312,474.12x = 52,934,161,393.84
  5. Step 5: Solve for x
    x = 52,934,161,393.84/312,474.12
  6. Step 6: Final answer
    x = 169,403.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.